Question

In how many ways can you answer 3 multiple choice questions,with the choices ABCD?​

Answer 1

Answer: For each of the 4 choices there are 2 possibilities. Either it is a possible answer or it is not. So that would mean that there are 2^4 (2*2*2*2) = 16 total possibilities.

Step-by-step explanation:

Another way of figuring the problem is to break it down by possibilities. There is obviously only one way for none of the answers to be correct and one way for all the answers to be correct. There are 4 ways for 1 to be correct and 4 ways for 3 to be correct (the same as 1 answer being incorrect). There are 4 choose 2 ways for 2 answers to be correct, which is 6. So adding them up we have 1+1+4+4+6 = 16 ways.